In this paper, tip tracking control is investigated for a single-link flexible robot. The flexible beam is first lumped to a spring-mass system, to which the so called backstepping approach is applicable, then two robust controllers and an adaptive controller are developed in the presence of system disturbances/uncertainties. The controllers are rigorously proven to be able to achieve stable ti...

In practice, a robotic joint is linearly and angularly deflected when a load is applied at the endeffector. This article presents an improved method with a combination of energy methods and the concepts of differential relationships to more accurately calculate the static deflection at the end-effector. A systematic approach to deflection calculation through three different Jacobians is present...

A Space Free-Flying Robot (SFFR) includes an actuated base equipped with one or more manipulators to perform on-orbit missions. Distinct from fixed-based manipulators, the spacecraft (base) of a SFFR responds to dynamic reaction forces due to manipulator motions. In order to control such a system, it is essential to consider the dynamic coupling between the manipulators and the base. Explicit d...

With the goal of creating a flexible spatial parallel robot system in which elastic deformation link causes rigid moving platform to produce small vibrations, we proposed an adaptive sliding mode control algorithm based on neural network. To improve calculation efficiency, finite element method was used discretize link, and then displacement field described floating frame reference coordinates,...

In recent years, establishing more and more explicit, complete and accurate dynamic models for the special category of flexible link manipulators has been a formidable challenging and still open problem in robotics research. This chapter is devoted to a methodological presentation of the application of Timoshenko beam (TB) theory (TBT) concepts to the mathematical description of flexible link r...

Evolving models have found applications in many real world systems. In this paper, potentials of the Evolving Linear Models (ELMs) in tracking control design for nonlinear variable structure systems are introduced. At first, an ELM is introduced as a dynamic single input, single output (SISO) linear model whose parameters as well as dynamic orders of input and output signals can change through ...

The adaptive control of robot manipulators has been presented as a solution for dealing with uncertainty and variation of the mass properties. Although these systems are nonlinear, globally stable tracking has been demonstrated both analytically and supported through experiments [1]. The key to these results has been the linear dependence of the model on the unknown parameters and, in many case...

In this study, modelling and control of a two-link robot manipulator whose first link is rigid and the second one is flexible is considered for both land and underwater conditions. Governing equations of the systems are derived from Hamilton’s Principle and differential eigenvalue problem. A computer program is developed to solve nonlinear ordinary differential equations defining the system dyn...

Tracking of a square trajectory 12.6 m x 12.6 m by a two-link flexible robot manipulator is performed repetitively for both inverse dynamics control (IDC) and fuzzy logic control (FLC). Repetitive learning inverse dynamics control (RLIDC) achieves no improvement in tracking but repetitive learning fuzzy logic control (RLFLC) achieves greater precision where cyclic tracking enables the fuzzy inf...

This paper presents a solution to the global adaptive partial state feedback control problem for rigid-link, flexible-joint (RLFJ) robots. The proposed tracking controller adapts for parametric uncertainty throughout the entire mechanical system while only requiring link and actuator position measurements. A nonlinear filter is employed to eliminate the need for link velocity measurements while...